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分析了多垂直杆单元的力学性质,证明了与之等效的梁单元的转角和横向位移的位移函数均为一次式,且该梁单元在求弯曲横向位移时,需采用1节点数值积分。讨论了多垂直杆单元模型转动中心c值的含义,认为c值反映了数值积分的求积节点或假设剪切应变插值点的变化,会对单元的刚度产生影响,并对c值的取值范围提出了合理建议。提出了竖向弹簧布置的改进方式,按高斯点布置代替均布方式时,能够用较少的弹簧得到更为精确的结果,提高了计算速度。最后,从横向位移模式和剪应力不均匀分布两个方面提出了改进多垂直杆单元模型的新构想。
The mechanical properties of multi-vertical bar elements are analyzed, and the displacement functions of the equivalent angular and transverse displacements of the beam elements are proved to be first-order. The numerical calculation of 1-node numerical integration is required for the beam element to calculate the lateral displacement. The meaning of the c value of the center of rotation of the multi-vertical rod element model is discussed. It is considered that the c value reflects the change of the quadrature node or the assumed shear strain interpolation point of the numerical integration, which will affect the stiffness of the element. Range made reasonable suggestions. The improvement of the vertical spring arrangement is put forward. When the Gaussian point arrangement is adopted instead of the uniform distribution method, more accurate results can be obtained with fewer springs and the calculation speed is improved. Finally, a new idea of improving the multi-vertical rod element model is put forward from two aspects of lateral displacement and non-uniform distribution of shear stress.